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DY: Fachverband Dynamik und Statistische Physik

DY 2: Stochastic thermodynamics and information processing

DY 2.10: Talk

Monday, March 20, 2017, 12:15–12:30, HÜL 186

Hidden and Emergent Cycles in Biochemical Reaction Networks — •Artur Wachtel, Matteo Polettini, and Massimiliano Esposito — Complex Systems and Statistical Mechanics, University of Luxembourg, Luxembourg

We study biochemical reaction networks which naturally arise in the molecular description of biological systems. On the macroscopic level, one describes the dynamics of these systems by differential rate equations, while on a microscopical level the dynamics is inherently stochastic, giving rise to a Markov jump process.

In this talk we give a classification of different topological cycles in these reaction networks: hidden and emergent cycles. The hidden cycles give rise to interesting dynamics and their absence implies agreement of the stochastic and deterministic descriptions. The emergent cycles on the other hand dictate the thermodynamic properties of the network. We exemplify our classification on real biochemical networks and on a small but illuminating toy model.

[1] Polettini, Esposito. J. Chem. Phys. 141, 024117 (2014)

[2] Polettini, Wachtel, Esposito. J. Chem. Phys. 143, 184103 (2015)